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Wewaii [24]
3 years ago
7

Simplify (use only positive exponents) : (3y^10)(2y^2)/8y^5

Mathematics
1 answer:
nadezda [96]3 years ago
5 0
When multiplying variables with exponents, all you have to do is to add the exponents and that’s the ‘product.’

So;

(3y^10)(2y^2) is equal to (3)(2)(y^10+2).

6y^12/8y^5


When dividing exponents, you do the opposite and subtract the exponents. And you divide the whole number by half.


6y^12/8y^5 = 3y^7/4

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Find the point P along the directed line segment from point A(–13, 6) to point B(2, 20) that divides the segment in the ratio 2
VARVARA [1.3K]

Answer:

(-4, 14.4)

Step-by-step explanation:

The midpoint formula is expressed as;

M(X, Y) = {(ax1+bx2/a+b), ay1+by2/a+b}

Get X;

X = ax1+bx2/a+b

X = -13(2)+ 2(3)/2+3

X = -26+6/5

X = -20/5

X = -4

Get Y:

Y =ay1+by2/a+b

Y = 2(6)+3(20)/2+3

Y = 12+60/5

Y = 72/5

Y = 14.4

Hence the coordinate of point P dividing A and B in the ratio 2 to 3 is

(-4, 14.4)

5 0
3 years ago
Is this correct?????????
Delicious77 [7]

Answer:

yup its right

Step-by-step explanation:

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=xy%20%2B%20x%20%2B%20y%20%3D%2011%20%5C%5C%20x%20%7B%7D%5E%7B2%7Dy%20%2B%20xy%20%7B%7D%5E%7B2%
Rudik [331]

I think the answer is 2 and 3.

4 0
4 years ago
Read 2 more answers
If the sum of -4 and the opposite of a number is multiplied by -3, the result is 6 less than the product of the number and 2. Wh
Igoryamba

-3 (-4 + -x ) = (-4(x) × 2 ) + 6

-3 (-4-x) = (-4x × 2) + 6

-12 + 3x = -8x + 6

3x - 12 = 6 - 8x

add 8x on both sides

11x - 12 = 6

add 12 on both sides

11x = 18

<em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>1</u></em><em><u>1</u></em><em><u>/</u></em><em><u>1</u></em><em><u>8</u></em>

3 0
3 years ago
Read 2 more answers
Find the midpoint of the line segment with end coordinates of: (−1,−6)and (4,5) Give coordinates as decimals where appropriate.
Arturiano [62]

Answer: The coordinates of the midpoint (1.5, -0.5)

Step-by-step explanation:

For the x-coordinate, find the difference between -1 and 4. That's 5. Take half of 5 and add to -1. So -1+2.5= 1.5

For the y-coordinate, the difference between -6 and 5 is 11. Half of 11 is 5.5. Add -6 + 5.5= 0.5

7 0
3 years ago
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